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# Fourier Analysis of GSP (iPathÂ S&P GSCIÂ Total Return ETN)

GSP (iPathÂ S&P GSCIÂ Total Return ETN) appears to have interesting cyclic behaviour every 48 weeks (1.8168*sine), 52 weeks (1.6267*cosine), and 45 weeks (1.3144*cosine).

GSP (iPathÂ S&P GSCIÂ Total Return ETN) has an average price of 30.63 (topmost row, frequency = 0).

Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

## Fourier Analysis

Using data from 6/7/2006 to 6/18/2018 for GSP (iPathÂ S&P GSCIÂ Total Return ETN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
030.63445   0
1-1.21646 10.62485 (1*2π)/629629 weeks
22.69176 10.82712 (2*2π)/629315 weeks
3-1.73599 4.46698 (3*2π)/629210 weeks
4-3.39051 -1.13544 (4*2π)/629157 weeks
5.84853 -.78193 (5*2π)/629126 weeks
63.38042 .37715 (6*2π)/629105 weeks
72.60219 2.42415 (7*2π)/62990 weeks
8-.12601 3.94669 (8*2π)/62979 weeks
9-1.47762 .69156 (9*2π)/62970 weeks
10-.25278 -.95627 (10*2π)/62963 weeks
11.93707 .55302 (11*2π)/62957 weeks
121.62668 1.20003 (12*2π)/62952 weeks
13.55083 1.8168 (13*2π)/62948 weeks
14-1.31441 1.14398 (14*2π)/62945 weeks
15-.15205 .50755 (15*2π)/62942 weeks
16.33003 .10886 (16*2π)/62939 weeks
17.94525 .69549 (17*2π)/62937 weeks
18.26286 1.11713 (18*2π)/62935 weeks
19.10045 .94917 (19*2π)/62933 weeks
20-.29758 .62153 (20*2π)/62931 weeks
21-.31077 .27825 (21*2π)/62930 weeks
22.0011 .55499 (22*2π)/62929 weeks
23.55655 .31728 (23*2π)/62927 weeks
24-.02037 .39875 (24*2π)/62926 weeks
25.27709 .4868 (25*2π)/62925 weeks
26-.21944 .69997 (26*2π)/62924 weeks
27.31516 .31965 (27*2π)/62923 weeks
28.02714 .42691 (28*2π)/62922 weeks
29.11868 .54247 (29*2π)/62922 weeks
30-.20286 .40634 (30*2π)/62921 weeks
31.11708 .33199 (31*2π)/62920 weeks
32.01011 .40109 (32*2π)/62920 weeks
33.06436 .4053 (33*2π)/62919 weeks
34-.18813 .26311 (34*2π)/62919 weeks
35.20512 .34051 (35*2π)/62918 weeks
36-.01461 .4491 (36*2π)/62917 weeks
37-.02341 .28164 (37*2π)/62917 weeks
38-.24927 .5229 (38*2π)/62917 weeks
39-.37901 .28374 (39*2π)/62916 weeks
40-.04634 .02871 (40*2π)/62916 weeks
41.04329 .01243 (41*2π)/62915 weeks
42.1383 .21891 (42*2π)/62915 weeks
43.03794 .28727 (43*2π)/62915 weeks
44-.09242 .18381 (44*2π)/62914 weeks
45-.09954 .18605 (45*2π)/62914 weeks
46-.10916 .04062 (46*2π)/62914 weeks
47.2944 .16088 (47*2π)/62913 weeks
48.0534 .28664 (48*2π)/62913 weeks
49-.05713 .26973 (49*2π)/62913 weeks
50-.00799 .21258 (50*2π)/62913 weeks
51-.03095 .07858 (51*2π)/62912 weeks
52.04351 .06325 (52*2π)/62912 weeks
53.30604 .24712 (53*2π)/62912 weeks
54.07968 .26344 (54*2π)/62912 weeks
55-.042 .15119 (55*2π)/62911 weeks
56.0642 .2073 (56*2π)/62911 weeks
57.13109 .17378 (57*2π)/62911 weeks
58.05174 .21213 (58*2π)/62911 weeks
59-.03715 .11714 (59*2π)/62911 weeks
60.02985 .21968 (60*2π)/62910 weeks
61.03696 .19575 (61*2π)/62910 weeks
62-.11839 .08958 (62*2π)/62910 weeks
63.0443 .00825 (63*2π)/62910 weeks
64.23568 .07973 (64*2π)/62910 weeks
65.14672 .27218 (65*2π)/62910 weeks
66-.16004 .18454 (66*2π)/62910 weeks
67-.04197 -.02308 (67*2π)/6299 weeks
68.10859 .02675 (68*2π)/6299 weeks
69.33287 .13613 (69*2π)/6299 weeks
70.03862 .28127 (70*2π)/6299 weeks
71.07962 .24236 (71*2π)/6299 weeks
72.01737 .24366 (72*2π)/6299 weeks
73-.04062 .06274 (73*2π)/6299 weeks
74.02509 .07218 (74*2π)/6299 weeks
75.13694 .15879 (75*2π)/6298 weeks
76.10108 .25805 (76*2π)/6298 weeks
77.09009 .21833 (77*2π)/6298 weeks
78.14079 .25739 (78*2π)/6298 weeks
79-.09598 .22629 (79*2π)/6298 weeks
80.03616 .08516 (80*2π)/6298 weeks
81-.09869 .05005 (81*2π)/6298 weeks
82-.06938 .08157 (82*2π)/6298 weeks
83.03044 .0082 (83*2π)/6298 weeks
84.1096 .01546 (84*2π)/6297 weeks
85.13649 .2112 (85*2π)/6297 weeks
86-.05337 .07312 (86*2π)/6297 weeks
87.14396 .04171 (87*2π)/6297 weeks
88-.0427 .19242 (88*2π)/6297 weeks
89.02959 .09475 (89*2π)/6297 weeks
90.1103 .07189 (90*2π)/6297 weeks
91-.02938 .05571 (91*2π)/6297 weeks
92.08512 .07647 (92*2π)/6297 weeks
93.06443 .05789 (93*2π)/6297 weeks
94.12556 .06731 (94*2π)/6297 weeks
95.01025 .22228 (95*2π)/6297 weeks
96-.02422 .04455 (96*2π)/6297 weeks
97.06265 .1412 (97*2π)/6296 weeks
98-.01575 .01526 (98*2π)/6296 weeks
99.18983 .06083 (99*2π)/6296 weeks
100.06274 .16568 (100*2π)/6296 weeks
101.03688 .06002 (101*2π)/6296 weeks
102-.06055 .0983 (102*2π)/6296 weeks
103.01265 -.0487 (103*2π)/6296 weeks
104.18924 .06557 (104*2π)/6296 weeks
105.10239 .21658 (105*2π)/6296 weeks
106-.00849 .11272 (106*2π)/6296 weeks
107.01572 .12176 (107*2π)/6296 weeks
108.05261 -.01647 (108*2π)/6296 weeks
109.00628 .08772 (109*2π)/6296 weeks
110.16693 .03331 (110*2π)/6296 weeks
111.12348 .09218 (111*2π)/6296 weeks
112.03462 .14599 (112*2π)/6296 weeks
113-.07426 .04026 (113*2π)/6296 weeks
114.05756 .0084 (114*2π)/6296 weeks
115.12356 .06044 (115*2π)/6295 weeks
116.09301 .12478 (116*2π)/6295 weeks
117.10812 .08154 (117*2π)/6295 weeks
118-.00764 .07953 (118*2π)/6295 weeks
119.03596 .0866 (119*2π)/6295 weeks
120.09168 .07777 (120*2π)/6295 weeks
121.07648 .06624 (121*2π)/6295 weeks
122.04922 .09629 (122*2π)/6295 weeks
123.04802 .06262 (123*2π)/6295 weeks
124.01208 .02601 (124*2π)/6295 weeks
125.09681 .05596 (125*2π)/6295 weeks
126.07962 .10438 (126*2π)/6295 weeks
127-.01991 .05648 (127*2π)/6295 weeks
128.02074 .07369 (128*2π)/6295 weeks
129.07019 .01804 (129*2π)/6295 weeks
130.05943 -.01492 (130*2π)/6295 weeks
131.1726 .10198 (131*2π)/6295 weeks
132.07975 .08428 (132*2π)/6295 weeks
133.01086 .1165 (133*2π)/6295 weeks
134-.00374 .06247 (134*2π)/6295 weeks
135.0587 .04091 (135*2π)/6295 weeks
136.11286 .04518 (136*2π)/6295 weeks
137.05019 .10861 (137*2π)/6295 weeks
138.02631 .08144 (138*2π)/6295 weeks
139-.00046 -.00965 (139*2π)/6295 weeks
140.08429 .0619 (140*2π)/6294 weeks
141.08904 .08068 (141*2π)/6294 weeks
142.04173 .00758 (142*2π)/6294 weeks
143.01628 .10749 (143*2π)/6294 weeks
144.04206 -.00244 (144*2π)/6294 weeks
145.09466 -.02217 (145*2π)/6294 weeks
146.10946 .05256 (146*2π)/6294 weeks
147.06218 .03992 (147*2π)/6294 weeks
148.04153 .04958 (148*2π)/6294 weeks
149.02911 .00039 (149*2π)/6294 weeks
150.1806 -.02032 (150*2π)/6294 weeks
151.13064 .03349 (151*2π)/6294 weeks
152.05815 .12481 (152*2π)/6294 weeks
153.07431 .07979 (153*2π)/6294 weeks
154.0278 .11676 (154*2π)/6294 weeks
155.02881 .01216 (155*2π)/6294 weeks
156.10213 .01706 (156*2π)/6294 weeks
157.02164 .04381 (157*2π)/6294 weeks
158.16651 .11605 (158*2π)/6294 weeks
159-.0059 .17934 (159*2π)/6294 weeks
160-.03417 .02581 (160*2π)/6294 weeks
161.02586 .00379 (161*2π)/6294 weeks
162.09326 .01769 (162*2π)/6294 weeks
163.08586 .09697 (163*2π)/6294 weeks
164.06976 .08649 (164*2π)/6294 weeks
165.0478 .08847 (165*2π)/6294 weeks
166-.02233 .03768 (166*2π)/6294 weeks
167.07881 .04691 (167*2π)/6294 weeks
168.11397 .05443 (168*2π)/6294 weeks
169.09821 .09749 (169*2π)/6294 weeks
170.02684 .16284 (170*2π)/6294 weeks
171-.00839 .04307 (171*2π)/6294 weeks
172-.02306 -.00321 (172*2π)/6294 weeks
173.13122 -.00462 (173*2π)/6294 weeks
174.1335 .10198 (174*2π)/6294 weeks
175.03848 .03078 (175*2π)/6294 weeks
176.02422 .08053 (176*2π)/6294 weeks
177.05171 .02857 (177*2π)/6294 weeks
178.0576 .02177 (178*2π)/6294 weeks
179.04519 .05173 (179*2π)/6294 weeks
180.1045 .01837 (180*2π)/6293 weeks
181.06057 .12679 (181*2π)/6293 weeks
182.02794 .03184 (182*2π)/6293 weeks
183.05463 .06402 (183*2π)/6293 weeks
184-.01414 .03829 (184*2π)/6293 weeks
185.0569 -.01808 (185*2π)/6293 weeks
186.10136 .05972 (186*2π)/6293 weeks
187.02203 .06082 (187*2π)/6293 weeks
188.04122 .0443 (188*2π)/6293 weeks
189.0309 .02112 (189*2π)/6293 weeks
190.0341 -.03429 (190*2π)/6293 weeks
191.07425 .03994 (191*2π)/6293 weeks
192.07563 .06773 (192*2π)/6293 weeks
193.033 .05864 (193*2π)/6293 weeks
194.01822 .01741 (194*2π)/6293 weeks
195.07084 .06163 (195*2π)/6293 weeks
196.04053 -.0087 (196*2π)/6293 weeks
197.00847 .01068 (197*2π)/6293 weeks
198.05437 .01078 (198*2π)/6293 weeks
199.08706 .00711 (199*2π)/6293 weeks
200.08091 .05921 (200*2π)/6293 weeks
201.0841 .04374 (201*2π)/6293 weeks
202.0313 .03277 (202*2π)/6293 weeks
203.01797 .08645 (203*2π)/6293 weeks
204.02281 -.02004 (204*2π)/6293 weeks
205.08569 .0245 (205*2π)/6293 weeks
206.06053 .01282 (206*2π)/6293 weeks
207.10922 .07524 (207*2π)/6293 weeks
208.02536 .04228 (208*2π)/6293 weeks
209.05016 .02951 (209*2π)/6293 weeks
210.03133 .02155 (210*2π)/6293 weeks
211.02679 -.01955 (211*2π)/6293 weeks
212.03348 -.00228 (212*2π)/6293 weeks
213.03945 .03972 (213*2π)/6293 weeks
214.05333 -.04789 (214*2π)/6293 weeks
215.10049 .03369 (215*2π)/6293 weeks
216.01877 .0718 (216*2π)/6293 weeks
217.06145 .02465 (217*2π)/6293 weeks
218.00767 .00242 (218*2π)/6293 weeks
219.03259 -.05739 (219*2π)/6293 weeks
220.08195 -.00088 (220*2π)/6293 weeks
221.08179 .03387 (221*2π)/6293 weeks
222.04654 .06105 (222*2π)/6293 weeks
223-.00512 -.02396 (223*2π)/6293 weeks
224.09635 -.06105 (224*2π)/6293 weeks
225.15478 .04097 (225*2π)/6293 weeks
226.06202 .08596 (226*2π)/6293 weeks
227.03162 .07293 (227*2π)/6293 weeks
228.00966 -.01692 (228*2π)/6293 weeks
229.09644 -.01684 (229*2π)/6293 weeks
230.09128 .00032 (230*2π)/6293 weeks
231.09339 .03924 (231*2π)/6293 weeks
232.06157 .01254 (232*2π)/6293 weeks
233.06913 .06533 (233*2π)/6293 weeks
234.05869 .00299 (234*2π)/6293 weeks
235.12049 .02525 (235*2π)/6293 weeks
236.05786 .04715 (236*2π)/6293 weeks
237.0515 .04928 (237*2π)/6293 weeks
238.02453 -.01061 (238*2π)/6293 weeks
239.1035 -.03975 (239*2π)/6293 weeks
240.13546 .06359 (240*2π)/6293 weeks
241.06783 .04934 (241*2π)/6293 weeks
242.01997 .02907 (242*2π)/6293 weeks
243.03404 .04838 (243*2π)/6293 weeks
244.0641 -.03882 (244*2π)/6293 weeks
245.02995 .0334 (245*2π)/6293 weeks
246.06347 -.02324 (246*2π)/6293 weeks
247.08843 .0109 (247*2π)/6293 weeks
248.08908 .03509 (248*2π)/6293 weeks
249.05562 .09043 (249*2π)/6293 weeks
250-.00385 .02957 (250*2π)/6293 weeks
251-.00129 -.03843 (251*2π)/6293 weeks
252.09899 -.00746 (252*2π)/6292 weeks
253.08375 .04182 (253*2π)/6292 weeks
254.06718 .02455 (254*2π)/6292 weeks
255.05346 .05528 (255*2π)/6292 weeks
256.00362 -.01344 (256*2π)/6292 weeks
257.05848 -.00083 (257*2π)/6292 weeks
258.04797 .01608 (258*2π)/6292 weeks
259.0999 .01894 (259*2π)/6292 weeks
260.05622 .06375 (260*2π)/6292 weeks
261.06735 .0473 (261*2π)/6292 weeks
262.03977 .03196 (262*2π)/6292 weeks
263.00209 .02793 (263*2π)/6292 weeks
264.05333 .00642 (264*2π)/6292 weeks
265.05131 .01158 (265*2π)/6292 weeks
266.04999 .02128 (266*2π)/6292 weeks
267.06442 .03511 (267*2π)/6292 weeks
268.05014 .00081 (268*2π)/6292 weeks
269.00881 .00659 (269*2π)/6292 weeks
270.03735 .00454 (270*2π)/6292 weeks
271.05111 -.0413 (271*2π)/6292 weeks
272.09766 -.02084 (272*2π)/6292 weeks
273.09923 .04988 (273*2π)/6292 weeks
274.04629 .02119 (274*2π)/6292 weeks
275.03591 .02041 (275*2π)/6292 weeks
276.04479 -.01486 (276*2π)/6292 weeks
277.12087 .04052 (277*2π)/6292 weeks
278.03996 .01571 (278*2π)/6292 weeks
279.03595 .03897 (279*2π)/6292 weeks
280.0261 -.00512 (280*2π)/6292 weeks
281.05706 -.054 (281*2π)/6292 weeks
282.09947 .00455 (282*2π)/6292 weeks
283.12143 .04388 (283*2π)/6292 weeks
284.03224 .06297 (284*2π)/6292 weeks
285.01808 .05073 (285*2π)/6292 weeks
286.04053 -.03306 (286*2π)/6292 weeks
287.07881 .03111 (287*2π)/6292 weeks
288.06417 .04772 (288*2π)/6292 weeks
289.09089 .05696 (289*2π)/6292 weeks
290.02572 .02236 (290*2π)/6292 weeks
291.05716 .02802 (291*2π)/6292 weeks
292.03056 .00441 (292*2π)/6292 weeks
293.02823 .00028 (293*2π)/6292 weeks
294.03415 .02029 (294*2π)/6292 weeks
295.02552 -.03467 (295*2π)/6292 weeks
296.03036 .00654 (296*2π)/6292 weeks
297.05751 .01549 (297*2π)/6292 weeks
298.08945 .02638 (298*2π)/6292 weeks
299-.02775 .02891 (299*2π)/6292 weeks
300.01393 -.01142 (300*2π)/6292 weeks
301.09786 -.01706 (301*2π)/6292 weeks
302.07385 -.01249 (302*2π)/6292 weeks
303.05097 .01521 (303*2π)/6292 weeks
304.05789 .06543 (304*2π)/6292 weeks
305-.02225 -.00135 (305*2π)/6292 weeks
306.02719 -.06379 (306*2π)/6292 weeks
307.11075 .01154 (307*2π)/6292 weeks
308.06704 .01002 (308*2π)/6292 weeks
309.04258 .04791 (309*2π)/6292 weeks
310.03549 .05459 (310*2π)/6292 weeks
311-.01646 -.02127 (311*2π)/6292 weeks
312.01172 -.01535 (312*2π)/6292 weeks
313.06659 -.03928 (313*2π)/6292 weeks
314.05808 .03389 (314*2π)/6292 weeks
315.05808 -.03389 (315*2π)/6292 weeks
316.06659 .03928 (316*2π)/6292 weeks
317.01172 .01535 (317*2π)/6292 weeks
318-.01646 .02127 (318*2π)/6292 weeks
319.03549 -.05459 (319*2π)/6292 weeks
320.04258 -.04791 (320*2π)/6292 weeks
321.06704 -.01002 (321*2π)/6292 weeks
322.11075 -.01154 (322*2π)/6292 weeks
323.02719 .06379 (323*2π)/6292 weeks
324-.02225 .00135 (324*2π)/6292 weeks
325.05789 -.06543 (325*2π)/6292 weeks
326.05097 -.01521 (326*2π)/6292 weeks
327.07385 .01249 (327*2π)/6292 weeks
328.09786 .01706 (328*2π)/6292 weeks
329.01393 .01142 (329*2π)/6292 weeks
330-.02775 -.02891 (330*2π)/6292 weeks
331.08945 -.02638 (331*2π)/6292 weeks
332.05751 -.01549 (332*2π)/6292 weeks
333.03036 -.00654 (333*2π)/6292 weeks
334.02552 .03467 (334*2π)/6292 weeks
335.03415 -.02029 (335*2π)/6292 weeks
336.02823 -.00028 (336*2π)/6292 weeks
337.03056 -.00441 (337*2π)/6292 weeks
338.05716 -.02802 (338*2π)/6292 weeks
339.02572 -.02236 (339*2π)/6292 weeks
340.09089 -.05696 (340*2π)/6292 weeks
341.06417 -.04772 (341*2π)/6292 weeks
342.07881 -.03111 (342*2π)/6292 weeks
343.04053 .03306 (343*2π)/6292 weeks
344.01808 -.05073 (344*2π)/6292 weeks
345.03224 -.06297 (345*2π)/6292 weeks
346.12143 -.04388 (346*2π)/6292 weeks
347.09947 -.00455 (347*2π)/6292 weeks
348.05706 .054 (348*2π)/6292 weeks
349.0261 .00512 (349*2π)/6292 weeks
350.03595 -.03897 (350*2π)/6292 weeks
351.03996 -.01571 (351*2π)/6292 weeks
352.12087 -.04052 (352*2π)/6292 weeks
353.04479 .01486 (353*2π)/6292 weeks
354.03591 -.02041 (354*2π)/6292 weeks
355.04629 -.02119 (355*2π)/6292 weeks
356.09923 -.04988 (356*2π)/6292 weeks
357.09766 .02084 (357*2π)/6292 weeks
358.05111 .0413 (358*2π)/6292 weeks
359.03735 -.00454 (359*2π)/6292 weeks
360.00881 -.00659 (360*2π)/6292 weeks
361.05014 -.00081 (361*2π)/6292 weeks
362.06442 -.03511 (362*2π)/6292 weeks
363.04999 -.02128 (363*2π)/6292 weeks
364.05131 -.01158 (364*2π)/6292 weeks
365.05333 -.00642 (365*2π)/6292 weeks
366.00209 -.02793 (366*2π)/6292 weeks
367.03977 -.03196 (367*2π)/6292 weeks
368.06735 -.0473 (368*2π)/6292 weeks
369.05622 -.06375 (369*2π)/6292 weeks
370.0999 -.01894 (370*2π)/6292 weeks
371.04797 -.01608 (371*2π)/6292 weeks
372.05848 .00083 (372*2π)/6292 weeks
373.00362 .01344 (373*2π)/6292 weeks
374.05346 -.05528 (374*2π)/6292 weeks
375.06718 -.02455 (375*2π)/6292 weeks
376.08375 -.04182 (376*2π)/6292 weeks
377.09899 .00746 (377*2π)/6292 weeks
378-.00129 .03843 (378*2π)/6292 weeks
379-.00385 -.02957 (379*2π)/6292 weeks
380.05562 -.09043 (380*2π)/6292 weeks
381.08908 -.03509 (381*2π)/6292 weeks
382.08843 -.0109 (382*2π)/6292 weeks
383.06347 .02324 (383*2π)/6292 weeks
384.02995 -.0334 (384*2π)/6292 weeks
385.0641 .03882 (385*2π)/6292 weeks
386.03404 -.04838 (386*2π)/6292 weeks
387.01997 -.02907 (387*2π)/6292 weeks
388.06783 -.04934 (388*2π)/6292 weeks
389.13546 -.06359 (389*2π)/6292 weeks
390.1035 .03975 (390*2π)/6292 weeks
391.02453 .01061 (391*2π)/6292 weeks
392.0515 -.04928 (392*2π)/6292 weeks
393.05786 -.04715 (393*2π)/6292 weeks
394.12049 -.02525 (394*2π)/6292 weeks
395.05869 -.00299 (395*2π)/6292 weeks
396.06913 -.06533 (396*2π)/6292 weeks
397.06157 -.01254 (397*2π)/6292 weeks
398.09339 -.03924 (398*2π)/6292 weeks
399.09128 -.00032 (399*2π)/6292 weeks
400.09644 .01684 (400*2π)/6292 weeks
401.00966 .01692 (401*2π)/6292 weeks
402.03162 -.07293 (402*2π)/6292 weeks
403.06202 -.08596 (403*2π)/6292 weeks
404.15478 -.04097 (404*2π)/6292 weeks
405.09635 .06105 (405*2π)/6292 weeks
406-.00512 .02396 (406*2π)/6292 weeks
407.04654 -.06105 (407*2π)/6292 weeks
408.08179 -.03387 (408*2π)/6292 weeks
409.08195 .00088 (409*2π)/6292 weeks
410.03259 .05739 (410*2π)/6292 weeks
411.00767 -.00242 (411*2π)/6292 weeks
412.06145 -.02465 (412*2π)/6292 weeks
413.01877 -.0718 (413*2π)/6292 weeks
414.10049 -.03369 (414*2π)/6292 weeks
415.05333 .04789 (415*2π)/6292 weeks
416.03945 -.03972 (416*2π)/6292 weeks
417.03348 .00228 (417*2π)/6292 weeks
418.02679 .01955 (418*2π)/6292 weeks
419.03133 -.02155 (419*2π)/6292 weeks
420.05016 -.02951 (420*2π)/6291 weeks
421.02536 -.04228 (421*2π)/6291 weeks
422.10922 -.07524 (422*2π)/6291 weeks
423.06053 -.01282 (423*2π)/6291 weeks
424.08569 -.0245 (424*2π)/6291 weeks
425.02281 .02004 (425*2π)/6291 weeks
426.01797 -.08645 (426*2π)/6291 weeks
427.0313 -.03277 (427*2π)/6291 weeks
428.0841 -.04374 (428*2π)/6291 weeks
429.08091 -.05921 (429*2π)/6291 weeks
430.08706 -.00711 (430*2π)/6291 weeks
431.05437 -.01078 (431*2π)/6291 weeks
432.00847 -.01068 (432*2π)/6291 weeks
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